51128517888 has 216 divisors, whose sum is σ = 170787384768. Its totient is φ = 14407704576.

The previous prime is 51128517877. The next prime is 51128517911. The reversal of 51128517888 is 88871582115.

It is a happy number.

51128517888 is a `hidden beast` number, since 5 + 112 + 8 + 517 + 8 + 8 + 8 = 666.

It is a super-2 number, since 2×51128517888² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1155631 + ... + 1199057.

Almost surely, 2^51128517888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51128517888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85393692384).

51128517888 is an abundant number, since it is smaller than the sum of its proper divisors (119658866880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51128517888 is a wasteful number, since it uses less digits than its factorization.

51128517888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43529 (or 43512 counting only the distinct ones).

The product of its digits is 1433600, while the sum is 54.

The spelling of 51128517888 in words is "fifty-one billion, one hundred twenty-eight million, five hundred seventeen thousand, eight hundred eighty-eight".